{"as_of":"2026-08-09T17:59:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:5c5f86c67f481271ba3900012ac830662cdfa30a836bbe4b955fc0c91eb34499","coverage":[{"denominator":0,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":9,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":9,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-09T06:31:02.800959+00:00","state":"measured"},{"denominator":9,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":9,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T15:09:34.155765Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-07-03T21:48:59.281482Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2405.20401","last_updated":"2025-05-07T18:17:26Z","snapshot_observed_at":"2026-08-09T12:07:46.269743Z","submitted_at":"2024-05-30T18:12:15Z","title":"Fractionalization of Coset Non-Invertible Symmetry and Exotic Hall Conductance","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2405.20401","snapshot_observed_at":"2026-08-07T15:09:34.155765Z","title":"Fractionalization of coset non-invertible symmetry and exotic Hall conductance,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2505.16546","last_updated":"2025-06-01T14:51:25Z","snapshot_observed_at":"2026-08-09T07:46:22.851842Z","submitted_at":"2025-05-22T11:37:23Z","title":"Twisted Partition Functions as Order Parameters","version":2},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-07T15:09:34.155765Z"},"links":{"cited_paper":"/paper/2405.20401","citing_paper":"/paper/2505.16546"},"observation_digest":"sha256:e6eacdc86930dd71d135835cab4f9a64a3579428682e8d99a2a34b8b677f6d97","observation_id":"b9c85b45-e92d-4df7-9a24-c852a6815bf9","resolution":{"observed_at":"2026-08-07T15:09:34.155765Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2405.20401","last_updated":"2025-05-07T18:17:26Z","snapshot_observed_at":"2026-08-09T12:07:46.269743Z","submitted_at":"2024-05-30T18:12:15Z","title":"Fractionalization of Coset Non-Invertible Symmetry and Exotic Hall Conductance","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2405.20401","snapshot_observed_at":"2026-08-06T21:09:06.303969Z","title":"Fractionalization of Coset Non-Invertible Sym- metry and Exotic Hall Conductance","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2507.01142","last_updated":"2025-07-01T19:00:39Z","snapshot_observed_at":"2026-08-07T10:37:49.533922Z","submitted_at":"2025-07-01T19:00:39Z","title":"Gauging Non-Invertible Symmetries in (2+1)d Topological Orders","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-06T21:09:06.303969Z"},"links":{"cited_paper":"/paper/2405.20401","citing_paper":"/paper/2507.01142"},"observation_digest":"sha256:d54fd5a62a2ae9dcc2bf65776d64190ed9a445892ad3e718d30e3e60f7d19979","observation_id":"94469623-5899-4417-88b3-052d537277a8","resolution":{"observed_at":"2026-08-06T21:09:06.303969Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2405.20401","last_updated":"2025-05-07T18:17:26Z","snapshot_observed_at":"2026-08-09T12:07:46.269743Z","submitted_at":"2024-05-30T18:12:15Z","title":"Fractionalization of Coset Non-Invertible Symmetry and Exotic Hall Conductance","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2405.20401","snapshot_observed_at":"2026-08-06T11:19:49.208350Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2507.22976","last_updated":"2025-08-15T15:01:26Z","snapshot_observed_at":"2026-08-08T08:05:59.948362Z","submitted_at":"2025-07-30T18:00:00Z","title":"Non-Local Conserved Currents and Continuous Non-Invertible Symmetries","version":2},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-06T11:19:49.208350Z"},"links":{"cited_paper":"/paper/2405.20401","citing_paper":"/paper/2507.22976"},"observation_digest":"sha256:0105db0f3327d89324ccfe577f85dcceb52eeb4d734cef875e78b7bfc3792dba","observation_id":"93e39f06-a6c6-4f4b-bf64-c25a10b1f498","resolution":{"observed_at":"2026-08-06T11:19:49.208350Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2405.20401","last_updated":"2025-05-07T18:17:26Z","snapshot_observed_at":"2026-08-09T12:07:46.269743Z","submitted_at":"2024-05-30T18:12:15Z","title":"Fractionalization of Coset Non-Invertible Symmetry and Exotic Hall Conductance","version":4},"cited_work":{"arxiv_id":"2405.20401","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2405.20401","snapshot_observed_at":"2026-07-03T21:48:59.281482Z","title":"Fractionalization of coset non-invertible symmetry and exotic Hall conductance","venue":null,"work_id":"70eeeaf7-8af2-4e14-bb16-f604c424e0ad","year":2024},"citing_paper":{"arxiv_id":"2511.15783","last_updated":"2026-05-11T09:13:04Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2025-11-19T19:00:00Z","title":"Automorphism in Gauge Theories: Higher Symmetries and Transversal Non-Clifford Logical Gates","version":2},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-05-17T20:18:27.901205Z"},"links":{"cited_paper":"/paper/2405.20401","citing_paper":"/paper/2511.15783"},"observation_digest":"sha256:a841eed0744f11b0b749fa48e1862da6f36c92788e9052763822fb2f926c42d6","observation_id":"c7716f27-39b3-4887-a69c-d15a438f4bf5","resolution":{"observed_at":"2026-05-17T20:20:11.736804Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2405.20401","last_updated":"2025-05-07T18:17:26Z","snapshot_observed_at":"2026-08-09T12:07:46.269743Z","submitted_at":"2024-05-30T18:12:15Z","title":"Fractionalization of Coset Non-Invertible Symmetry and Exotic Hall Conductance","version":4},"cited_work":{"arxiv_id":"2405.20401","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2405.20401","snapshot_observed_at":"2026-07-03T21:48:59.281482Z","title":"Fractionalization of coset non-invertible symmetry and exotic Hall conductance","venue":null,"work_id":"70eeeaf7-8af2-4e14-bb16-f604c424e0ad","year":2024},"citing_paper":{"arxiv_id":"2604.25821","last_updated":"2026-04-28T16:30:42Z","snapshot_observed_at":"2026-07-06T23:11:34.854305Z","submitted_at":"2026-04-28T16:30:42Z","title":"Categorical Symmetries via Operator Algebras","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-05-07T15:56:04.295605Z"},"links":{"cited_paper":"/paper/2405.20401","citing_paper":"/paper/2604.25821"},"observation_digest":"sha256:5f3eb1fa02e588122596196dfcd512583018d3ba9acd30be28fd39e1546563f1","observation_id":"d456f876-ad22-40f3-acb9-840488b94187","resolution":{"observed_at":"2026-05-12T00:01:14.968724Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2405.20401","last_updated":"2025-05-07T18:17:26Z","snapshot_observed_at":"2026-08-09T12:07:46.269743Z","submitted_at":"2024-05-30T18:12:15Z","title":"Fractionalization of Coset Non-Invertible Symmetry and Exotic Hall Conductance","version":4},"cited_work":{"arxiv_id":"2405.20401","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2405.20401","snapshot_observed_at":"2026-07-03T21:48:59.281482Z","title":"Fractionalization of coset non-invertible symmetry and exotic Hall conductance","venue":null,"work_id":"70eeeaf7-8af2-4e14-bb16-f604c424e0ad","year":2024},"citing_paper":{"arxiv_id":"2606.05856","last_updated":"2026-06-04T08:28:38Z","snapshot_observed_at":"2026-08-06T19:26:58.699995Z","submitted_at":"2026-06-04T08:28:38Z","title":"Understanding deconfined quantum critical points from crystalline categorical Landau paradigm","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-06-27T23:49:35.843071Z"},"links":{"cited_paper":"/paper/2405.20401","citing_paper":"/paper/2606.05856"},"observation_digest":"sha256:c37f5b8171606f8d6eef771707f4fee603080f8c60b28e8ccc8cfd562c27f4a1","observation_id":"7f4f8aee-6371-40d2-bea5-b5a1f2b62212","resolution":{"observed_at":"2026-07-02T15:27:05.973279Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2405.20401","last_updated":"2025-05-07T18:17:26Z","snapshot_observed_at":"2026-08-09T12:07:46.269743Z","submitted_at":"2024-05-30T18:12:15Z","title":"Fractionalization of Coset Non-Invertible Symmetry and Exotic Hall Conductance","version":4},"cited_work":{"arxiv_id":"2405.20401","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2405.20401","snapshot_observed_at":"2026-07-03T21:48:59.281482Z","title":"Fractionalization of coset non-invertible symmetry and exotic Hall conductance","venue":null,"work_id":"70eeeaf7-8af2-4e14-bb16-f604c424e0ad","year":2024},"citing_paper":{"arxiv_id":"2606.17708","last_updated":"2026-06-22T03:13:54Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2026-06-16T09:18:51Z","title":"Monopoles, Center Vortices, Confinement in (3+1)d, and the Lens-Space Twisted Partition Function","version":2},"reference_index":78,"source":"pdf_text","source_observed_at":"2026-06-27T00:11:02.022176Z"},"links":{"cited_paper":"/paper/2405.20401","citing_paper":"/paper/2606.17708"},"observation_digest":"sha256:76b7e88f1c8613ee33d6a2eb2f10410a202fa340b85c2ba72cd43fddb46fd490","observation_id":"d3327d5b-ddeb-4c16-b24d-e5f804847157","resolution":{"observed_at":"2026-07-03T21:48:59.282995Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2405.20401","last_updated":"2025-05-07T18:17:26Z","snapshot_observed_at":"2026-08-09T12:07:46.269743Z","submitted_at":"2024-05-30T18:12:15Z","title":"Fractionalization of Coset Non-Invertible Symmetry and Exotic Hall Conductance","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2405.20401","snapshot_observed_at":"2026-08-01T21:32:14.313703Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.16099","last_updated":"2026-08-06T15:32:09Z","snapshot_observed_at":"2026-08-09T17:12:15.446835Z","submitted_at":"2026-07-17T16:32:42Z","title":"Symmetry extension by condensation defects II: general dimensions and higher-groups","version":1},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-08-01T21:32:14.313703Z"},"links":{"cited_paper":"/paper/2405.20401","citing_paper":"/paper/2607.16099"},"observation_digest":"sha256:8c235d637fab159a66fc5b122091dcf370ff9b096d5ed94132e626c5483496b1","observation_id":"356ad64b-9a4f-4cb1-88db-5a70715bb437","resolution":{"observed_at":"2026-08-01T21:32:14.313703Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2405.20401","last_updated":"2025-05-07T18:17:26Z","snapshot_observed_at":"2026-08-09T12:07:46.269743Z","submitted_at":"2024-05-30T18:12:15Z","title":"Fractionalization of Coset Non-Invertible Symmetry and Exotic Hall Conductance","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2405.20401","snapshot_observed_at":"2026-08-01T06:57:47.173902Z","title":"Fractionalization of coset non-invertible symmetry and exotic Hall conductance,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.21728","last_updated":"2026-07-23T18:24:51Z","snapshot_observed_at":"2026-08-08T07:40:46.360310Z","submitted_at":"2026-07-23T18:24:51Z","title":"Quantum Cellular Automata from Kramers-Wannier Dualities and Modular Relations","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-01T06:57:47.173902Z"},"links":{"cited_paper":"/paper/2405.20401","citing_paper":"/paper/2607.21728"},"observation_digest":"sha256:1f990a1d4b2f8b6fe27585fb6e523dae0495c7437100e2e229f40115f2f51a13","observation_id":"d6a0f2f6-5d82-4d63-9b37-d1ee79964ede","resolution":{"observed_at":"2026-08-01T06:57:47.173902Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2405.20401/citation-record","integrity":"/paper/2405.20401/integrity","json":"/paper/2405.20401/citation-record.json","paper":"/paper/2405.20401"},"outbound":[],"paper":{"arxiv_id":"2405.20401","last_updated":"2025-05-07T18:17:26Z","latest_version":4,"primary_category":"cond-mat.str-el","snapshot_observed_at":"2026-08-09T12:07:46.269743Z","submitted_at":"2024-05-30T18:12:15Z","title":"Fractionalization of Coset Non-Invertible Symmetry and Exotic Hall Conductance"},"reference_resolution":{"displayed":0,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":0,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":0},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"thesis":"As of 9 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 9 inbound Pith citation observations for arXiv:2405.20401."}